Negligible Variation and the Change of Variables Theorem
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🧮 math.CA
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changeintegralvariablesconditionformulanecessarysufficienttheorem
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In this note we prove a necessary and sufficient condition for the change of variables formula for the HK integral, with implications for the change of variables formula for the Lebesgue integral. As a corollary, we obtain a necessary and sufficient condition for the Fundamental Theorem of Calculus to hold for the HK integral.
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